130200084 has 144 divisors (see below), whose sum is σ = 402554880. Its totient is φ = 34655040.

The previous prime is 130200073. The next prime is 130200113. The reversal of 130200084 is 480002031.

It is a happy number.

130200084 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 339757 + ... + 340139.

It is an arithmetic number, because the mean of its divisors is an integer number (2795520).

Almost surely, 2^130200084 is an apocalyptic number.

130200084 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130200084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201277440).

130200084 is an abundant number, since it is smaller than the sum of its proper divisors (272354796).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

130200084 is a wasteful number, since it uses less digits than its factorization.

130200084 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490 (or 485 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 130200084 is about 11410.5251412895. The cubic root of 130200084 is about 506.8394622612.

The spelling of 130200084 in words is "one hundred thirty million, two hundred thousand, eighty-four".